Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media

Figure 3

Orders of accuracy for different velocities and maximum errors. Here, 𝜏=0.0001 s, ℎ=2 m, 𝑓_max=30 Hz. 𝜂=10⁻¹⁰, 10⁻⁹, 10⁻⁸, 10⁻⁷, 10⁻⁶, and 10⁻⁵. The values of 𝑀 are determined by (32). When log₁₀|𝜀|<−16, we set log₁₀|𝜀|=−16.